two-phase flow;
phase-field model;
Cahn-Hilliard equation;
finite element method;
orthogonal basis bubble function element;
D O I:
10.1080/10618560802238226
中图分类号:
O3 [力学];
学科分类号:
08 ;
0801 ;
摘要:
In this study, a finite element method based on a phase-field model for gas-liquid two-phase flow is proposed. MINI element based on a bubble function element stabilisation method is employed for the incompressible Navier-Stokes equations. The Cahn-Hilliard equation is employed to estimate the interface of gas and liquid. The orthogonal basis bubble function element is used to solve the Cahn-Hilliard equation. In particular, a detailed explanation for solving the Cahn-Hilliard equation based on a finite element method is given.
机构:
Beijing Computat Sci Res Ctr, Appl & Computat Math Div, Beijing, Peoples R China
Hong Kong Univ Sci & Technol, Dept Math, Hong Kong, Peoples R ChinaBeijing Computat Sci Res Ctr, Appl & Computat Math Div, Beijing, Peoples R China
Li, Xiang
Du, Qiang
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机构:
Columbia Univ, Dept Appl Phys & Appl Math, New York, NY 10027 USA
Columbia Univ, Data Sci Inst, New York, NY 10027 USABeijing Computat Sci Res Ctr, Appl & Computat Math Div, Beijing, Peoples R China
Du, Qiang
Wang, Xiao-Ping
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机构:
Hong Kong Univ Sci & Technol, Dept Math, Hong Kong, Peoples R ChinaBeijing Computat Sci Res Ctr, Appl & Computat Math Div, Beijing, Peoples R China
机构:
Xi An Jiao Tong Univ, Sch Math & Stat, Xian 710049, Peoples R ChinaXi An Jiao Tong Univ, Sch Math & Stat, Xian 710049, Peoples R China
Liu, Qingfang
Li, Baotong
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机构:
Xi An Jiao Tong Univ, Key Lab Educ Minist Modern Design & Rotor Bearing, Xian 710049, Peoples R ChinaXi An Jiao Tong Univ, Sch Math & Stat, Xian 710049, Peoples R China
Li, Baotong
Wang, Yujie
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机构:
Univ Penn, Dept Math, Philadelphia, PA 19104 USAXi An Jiao Tong Univ, Sch Math & Stat, Xian 710049, Peoples R China
Wang, Yujie
Wang, Zhiheng
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机构:
Xi An Jiao Tong Univ, Sch Energy & Power Engn, Xian 710049, Peoples R ChinaXi An Jiao Tong Univ, Sch Math & Stat, Xian 710049, Peoples R China
Wang, Zhiheng
Zhao, Jiakun
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机构:
Xi An Jiao Tong Univ, Sch Software Engn, Xian 710049, Peoples R ChinaXi An Jiao Tong Univ, Sch Math & Stat, Xian 710049, Peoples R China